For any real numbers \(a\) and \(b\)

$$a \times b = b \times a$$

When we **multiply** two numbers, the order in which we multiply them has no effect on the final result, so the **order is unimportant** because the product will remain the same regardless of the order.

Let's go over a quick example to illustrate the concept of the Commutative Property of Multiplication.

Suppose we have the values for \(a\) and \(b\)

$$\displaylines{

a = 3 \cr

b = 9 \cr} $$

Let's plug them into the "formula":

$$a \times b = b \times a$$

We obtain

$$\displaylines{

3 \times 9 = 9 \times 3 \cr

27 = 27 \cr} $$

As you can see that interchanging the positions of the factors, \(3\) and \(9\), did not make any difference in the final result. The product remains the same which is \(27\).